Question

are the two terms on each tile like terms? sort the tiles into the appropriate categories.
-5x² and x²
-4p and p²
0.5bc and -15bc
8 and 9
5x and x
3ab and 15ba
like terms
unlike terms

Explanation:

Like terms are terms that have the same variables raised to the same powers; constants (terms without variables) are also like terms. Unlike terms have different variables or the same variables raised to different powers.

1. $-5x^2$ and $x^2$: Same variable $x$ to the 2nd power → like terms.
2. $-4p$ and $p^2$: Same variable $p$ but different exponents → unlike terms.
3. $0.5m$ and $-10m$: Same variable $m$ to the 1st power → like terms.
4. $k$ and $k$: Same variable $k$ to the 1st power → like terms.
5. $5x$ and $5$: One has variable $x$, the other is a constant → unlike terms.
6. $3ab$ and $2ba$: Same variables $a$ and $b$ (order doesn't matter) → like terms.

Answer:

Like Terms:

$-5x^2$ and $x^2$
$0.5m$ and $-10m$
$k$ and $k$
$3ab$ and $2ba$

Unlike Terms:

$-4p$ and $p^2$
$5x$ and $5$